This paper shows how the classical representation techniques for solution of elasticity problems, based on Green’s functions, can be generalized to second-gradient continua focusing specific case pantographic lattices. As these last are strongly anisotropic, fundamental solutions isotropic involving bi-Helmholtz-type operators not applicable. More specifically we establish analytical linearized...

In a previous work, we have shown that granular micromechanics approach can lead to load path dependent continuum models. the present generalize such micromechanical introducing an intrinsic 2nd gradient energy storage mechanism (resembling pantographic micromechanism), in grain–grain interaction. Such mechanism, represents long-range effects but could also be thought as deriving from utilizati...

Keywords: A. Fabrics/textiles B. Mechanical properties C. Finite element analysis (FEA) D. Mechanical testing a b s t r a c t A method of combining 1-d and 2-d structural finite elements to capture the fundamental mechanical properties of engineering fabrics subject to finite strains is introduced. A mutually constrained pantographic beam & membrane mesh is presented and simple homogenisation t...

In this work, the dynamical behavior of a pantographic structure undergoing large deformations is analyzed. A harmonic force applied on structure, while its motion in time recorded by means high-speed camera system. The resulting displacement field obtained via digital image correlation (DIC) method for whole domain. parametric study with respect to amplitude imposed exhibits appearance non-lin...